101412044220200 has 192 divisors, whose sum is σ = 275466952379520. Its totient is φ = 34002154368000.

The previous prime is 101412044220163. The next prime is 101412044220211. The reversal of 101412044220200 is 2022440214101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11342135 + ... + 18206265.

It is an arithmetic number, because the mean of its divisors is an integer number (1434723710310).

Almost surely, 2^{101412044220200} is an apocalyptic number.

101412044220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101412044220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137733476189760).

101412044220200 is an abundant number, since it is smaller than the sum of its proper divisors (174054908159320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101412044220200 is a wasteful number, since it uses less digits than its factorization.

101412044220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864388 (or 6864379 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 101412044220200 its reverse (2022440214101), we get a palindrome (103434484434301).

The spelling of 101412044220200 in words is "one hundred one trillion, four hundred twelve billion, forty-four million, two hundred twenty thousand, two hundred".